Ivan Shishkin, Birch Grove

Dense subset

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Revision 732

7/29/2026, 4:19:23 PM · Ancient Tree

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Recorded titleDense subset
Recorded typeDefinition
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1A subset $A$ of a [[Topological space|topological space]]$X$ is dense in $X$ if its [[Closure|closure]] is the whole space:
1A subset $A$ of a [[Topological space|topological space]] $X$ is dense in $X$ if its [[Closure|closure]] is the whole space:
2$$\overline{A}=X.$$

Revision 731

7/29/2026, 4:19:09 PM · Ancient Tree

Concept created

A subset $A$ of a [[Topological space|topological space]]$X$ is dense in $X$ if its [[Closure|closure]] is the whole space:
$$\overline{A}=X.$$